Basic Algebraic Topology and its Applications

Mahima Ranjan Adhikari ()
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Mahima Ranjan Adhikari: The Institute for Mathematics, Bioinformatics, Information Technol

in Springer Books from Springer

Date: 2016
ISBN: 978-81-322-2843-1
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Chapters in this book:

Ch Chapter 1 Prerequisite Concepts and Notations

Mahima Ranjan Adhikari

Ch Chapter 10 Homology and Cohomology Theories

Mahima Ranjan Adhikari

Ch Chapter 11 Eilenberg–MacLane Spaces

Mahima Ranjan Adhikari

Ch Chapter 12 Eilenberg–Steenrod Axioms for Homology and Cohomology Theories

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Ch Chapter 13 Consequences of the Eilenberg–Steenrod Axioms

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Ch Chapter 14 Applications

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Ch Chapter 15 Spectral Homology and Cohomology Theories

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Ch Chapter 16 Obstruction Theory

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Ch Chapter 17 More Relations Between Homology and Homotopy

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Ch Chapter 18 A Brief History of Algebraic Topology

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Ch Chapter 2 Homotopy Theory: Elementary Basic Concepts

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Ch Chapter 3 The Fundamental Groups

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Ch Chapter 4 Covering Spaces

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Ch Chapter 5 Fiber Bundles, Vector Bundles and K-Theory

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Ch Chapter 6 Geometry of Simplicial Complexes and Fundamental Groups of Polyhedra

Mahima Ranjan Adhikari

Ch Chapter 7 Higher Homotopy Groups

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Ch Chapter 8 CW-Complexes and Homotopy

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Ch Chapter 9 Products in Homotopy Theory

Mahima Ranjan Adhikari

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DOI: 10.1007/978-81-322-2843-1

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